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Finding the Fourth Proportional to 69,811.12, 104,716.68 and 32,878

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Solution

The fourth proportional to 69,811.12, 104,716.68 and 32,878 is: 49,317

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,811.12 : 104,716.68 = 32,878 : x
  2. Step 2: Convert to fraction form
    69,811.12/104,716.68 = 32,878/x
  3. Step 3: Cross multiply
    69,811.12x = 104,716.68 × 32,878
  4. Step 4: Simplify right side
    69,811.12x = 3,442,875,005.04
  5. Step 5: Solve for x
    x = 3,442,875,005.04/69,811.12
  6. Step 6: Final answer
    x = 49,317

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.